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Finding the Fourth Proportional to 299.36, 448.16 and 177.60

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Solution

The fourth proportional to 299.36, 448.16 and 177.60 is: 265.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.36 : 448.16 = 177.60 : x
  2. Step 2: Convert to fraction form
    299.36/448.16 = 177.60/x
  3. Step 3: Cross multiply
    299.36x = 448.16 × 177.60
  4. Step 4: Simplify right side
    299.36x = 79,593.22
  5. Step 5: Solve for x
    x = 79,593.22/299.36
  6. Step 6: Final answer
    x = 265.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.